{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "x_train = np.array([1.0, 2.0])\n",
    "y_train = np.array([300.0, 500.0])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [],
   "source": [
    "def compute_cost(x, y, w, b):\n",
    "  m = x.shape[0]\n",
    "  j_wb = 0\n",
    "  for i in range(m):\n",
    "    f_wb = w*x[i] + b\n",
    "    j_wb += (f_wb - y[i]) ** 2\n",
    "  \n",
    "  j_wb = j_wb * (1/2*m)\n",
    "\n",
    "  return j_wb"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "cost = np.zeros(5)\n",
    "w = np.linspace(0, 400, 5) #creates array of size 5 of numbers between 0 and 400, with all numbers being equally spaced\n",
    "i = 0\n",
    "for i in range (len(w)):\n",
    "  cost[i] = compute_cost(x_train, y_train, w[i], 100)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.plot(w, cost, color='black', marker='o')\n",
    "plt.xlabel('w')\n",
    "plt.ylabel('cost')\n",
    "plt.title(\"Cost\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[  0. 100. 200. 300. 400.]\n"
     ]
    }
   ],
   "source": [
    "w = np.linspace(0.0, 400.0, 5)\n",
    "print(w)"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "base",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.11.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
